A graphing calculator is recommended. Find the Gini index for the given Lorenz curve. (Round your answer to three decimal places.)   L(x)=(3x + x2 + x3)/5

Q: Find the Gini index for the given Lorenz curve. (Round your answer to three decimal places.) L(x) =…

A: Gini index for the Lorenz curve can be calculated as follows: Gini…

Q: Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w(0)…

A:

Q: *13.3. a. Plot the logistic response function: f(X, γ) = 3001+(30) exp(−1.5X) X≥ 0 b-What is…

A: Given that -   The logistic response function: f(X, γ) = 300 / 1+(30) exp(−1.5X)   ; X≥ 0

Q: 7. If the graph of y = f(x) contains the point (- 2, 7), then the graph of y = f'(x) will contain…

A:

Q: Given that 4.0 4.2 4.4 4.6 4.8 5.0 5.2 y 1-3863 1-4351 1.4816 1-5261 1.5686 1.6094 1.6487 5-2 3…

A:

Q: 10. The following is a graph of a logarithmic function, k. (a) What is the vertical asymptote of…

A:

Q: Evaluate in terms of gamma function: e- ydy

A:

Q: The PDF for the lifetime Y (in days) of a certain vaccine without a cold chain is given below. Due…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can take finite…

Q: The lifetime of a certain type of TV remote control is given by Y . Suppose Y has approximately…

A: Given, Y~Expλ=8 Therefore probability distribution function of y is obtained as- fy=λ×e-λy, y≥00…

Q: log(1+e¯*) is The indeterminate form of lim,→∞

A: The form is:-

Q: Make a complete graph of the following function. ƒ(x) = x ln x

A:

Q: Consider the following graph of an exponential function f of the form f (x) = ax, to answer question…

A:

Q: Suppose that a population follows a logistic growth pattern, with a limiting population N. If the…

A: P=P0 NP0+N-P0e-kt a). On simplification, we get ⇒PP0+N-P0e-kt=P0 N⇒P P0+PN-P0e-kt=P0 N⇒PN-P0e-kt=P0…

Q: Find the Gini index for the given Lorenz curve. (Round your answer to three decimal places.) L(x) =…

A: Solution :-

Q: Find the exponential function f(x) = a* whose graph is given. f(x) = 2 (-1, 1/4) -2 -1 2.

A:

Q: If f is an exponential function of the form f(x) = Cax with  growth factor 3, and if f(6) = 12, what…

A: Given f(x)=C.ax with growth factor 3 and f(6)=12

Q: (1) If the general solution of the PDE is Zr e+g(x-logz) then find the PDE.

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: A male child is 19 inches long at birth and grows to an adult height of 73 inches. In this exercise,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let f be the exponential function defined by (2+2) f(2) = () and determine the folloving information…

A:

Q: Suppose the Lorenz curve for the distribution of income of a certain country is given by the…

A: Given:

Q: Find the exponential function f(x) = Ca* whose graph is given below. 2 k. 3) f(x) =

A:

Q: and the range is The exponential function f with base b is defined by f(x) = , b>0 and b 1. Using…

A:

Q: Find the value of a so that Screen Shot 2021-10-06 at 8.48.07 AM.png ... 3ах2 — 4х + 7 lim log3 = 4…

A:

Q: Fit an exponential curve of the form y = ab* to the followin 1 3 4 6. 1.0 1.2 1.8 2.5 3.6 4.7

A: Introduction: The graphical method has the disadvantage that the straight line drawn may not be…

Q: Find a formula for f n  x if fx = ln (x-1)

A: Given, f(x)=ln(x-1) differentiate with respect to x, f'(x)=1x-1 Again differentiate with respect to…

Q: Prove that In x lim xP for any number p > 0. This shows that the logarithmic function approaches…

A: Prove that limn→∞ ln xxP=0for any numbers P>0

Q: At what value(s) of x does e^(-x2) =x2 - x + 1?

A: To determine the values of x at which,

Q: Q1:-genrate and plot the discrete-time exponential Sequance given by x[n]=(0.8)" u(n)

A: To generate and plot the discrete-time exponential sequence given by xn=0.8nun

Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: To match the graph with the given situation.

Q: Suppose the Lorenz curve for the distribution of income of a certain country is given by the…

A:

Q: The exponential function f(x) = (÷) has the ---Select-- v asymptote y = () - This means that as x…

A: To calculate the horizontal asymptote, limx->inf f(x) = limx->inf (1/4)x= 0

Q: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Suppose the Lorenz curve for the distribution of income of a certain country is given by the…

A:

Q: Suppose the Lorenz curve for the distribution of income of a certain country is given by the…

A: Given: Lorenz distribution of income for certain country is given by, The Ginni coefficient of…

Q: 2. Find an approximate equation y = ab* of the exponential curve that contains the given pair of…

A: The objective of the question is determine the approximate equation at given data.

Q: X f(X)=log(X) 4.0 0.6020599913 1 4.5 0.6532125138 2 5.0 0.6989700043 3 5.5 0.7403626895 4 6.0…

A: We have to find log(5.234) using divided difference.

Q: Find the derivative f'(x) if f(x) = log 3x² A. (2/x) log 3x B. (2/x) log e C. (3/x) log 3x D. (3/x)…

A: Solution

Q: Find the exponential function f(x) points (0, 3) and (2, 12). Ca" whose graph goes through the a = C…

A: We will put the coordinates in the function and find the required values.

Q: For a general L(x), demonstrate that G = 1 - 2B. What range of values does the Gini index occupy?

A: For a general Lx, the Gini index G is, G=AA+B    ⋯⋯(1) Also, from the above tabulation, G=2A From…

Q: The logarithm of the ratio of the output to the input current of a transistor is called its current…

A:

Q: Make a complete graph of the following function. g(x) = x2 ln x

A: Make a complete graph of the following function. g(x) = x2 ln x

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) (b) y=log, x (c) y=log, x 4 3 2 -4 -3 -2…

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: The lognormal model for stock prices is given by S(t) = 10e0.034+0.1vtz, where Z N(0, 1 Determine…

A: From the given information, St=10e0.03t+0.1tZ Z~N0,1

Q: Find the equation of the vertical asymptote f(x)=log(x+4

A: We have to use properties of log function to solve the problem.

Q: A graphing calculator is recommended. Find the Gini index for the given Lorenz curve. (Round your…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Let X1 be exponential with mean 4 and X2 be exponential with mean 6. Assume X1 and X2 are…

A:

Q: In this exercise we compare the graphs of two exponential functions. Sketch the graphs of Flx) = 2"…

A: The functions are given by f(x) = 2x g(x) = 32x To evaluate: The sketch of the functions.

Q: 11. The following diagran growth over time of L the data in a small par

A: (a) The data are not the same because the insurance in force in the 1st graph has a higher rate than…

Q: 01- Given the values of x presented in the following table: X 654 658 659 661 If rx) is tog1o of…

A:

Q: a1- Given the values of x presented in the following table: x 654 658 659 661 If fx) is togu of ()…

A: Given xi 654 658 659 661 According to question given thatf(xi)=log10(xi)Now substitute all of…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.